In mathematics, spectral graph theory is the study of the properties of a graph in relationship to the characteristic polynomial, eigenvalues, and eigenvectors of matrices associated with the …

We begin with basic but necessary de nitions in graph theory that are important to both describe and prove results in spectral graph theory. Then, we move to topics in linear algebra that are …

Sep 27, 2016 · This text is an introduction to spectral graph theory, but it could also be seen as an invitation to algebraic graph theory. On the one hand, there is, of course, the linear algebra …

Just as astronomers study stellar spectra to determine the make-up of distant stars, one of the main goals in graph theory is to deduce the principal properties and structure of a graph from …

May 1, 2025 · Outline Spectral graph theory intertwines the field of graph theory with linear algebra by studying a graph’s connectivity and structure.

The aim of this book is to understand the spectral grpah theory. We combine all classic sources, e.g. Fan Chung's book, Dan Spielman and Luca Trevisan's graduate courses.

What I’m Skipping Matrix-tree theorem. Most of algebraic graph theory. Special graphs (e.g. Cayley graphs). Connections to codes and designs. Lots of work by theorists.

May 7, 2024 Spectral graph theory is the powerful and beautiful theory that arises from the following question: What properties of a graph are exposed/revealed if we 1) represent the …

In this lecture, we give an overview of spectral graph theory, where in we use tools from Linear Algebra to study graphs. We demonstrate how we can “read off” combinatorial properties of …

Spectral Graph Theory is a branch of graph theory that focuses on studying the properties of graphs by analyzing the eigenvalues and eigenvectors of matrices associated with the graph.